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01400 am a22001693u 4500 |
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384636 |
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|a Babar, Zunaira
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|a Botsinis, Panagiotis
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|a Alanis, Dimitrios
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|a Ng, Soon Xin
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|a Hanzo, Lajos
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|a Fifteen years of quantum LDPC coding and improved decoding strategies
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|c 2015-11-24.
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|u https://eprints.soton.ac.uk/384636/1/access-hanzo-2503267-proof.pdf
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|a The near-capacity performance of classical low-density parity check (LDPC) codes and their efficient iterative decoding makes quantum LDPC (QLPDC) codes a promising candidate for quantum error correction. In this paper, we present a comprehensive survey of QLDPC codes from the perspective of code design as well as in terms of their decoding algorithms. We also conceive a modified non-binary decoding algorithm for homogeneous Calderbank-Shor-Steane-type QLDPC codes, which is capable of alleviating the problems imposed by the unavoidable length-four cycles. Our modified decoder outperforms the state-of-the-art decoders in terms of their word error rate performance, despite imposing a reduced decoding complexity. Finally, we intricately amalgamate our modified decoder with the classic uniformly reweighted belief propagation for the sake of achieving an improved performance.
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